{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2 as cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 梯度运算"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sobel 算子"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "GX=右-左，GY=下-上"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread(\"car.png\")\n",
    "r,g,b=cv2.split(img)\n",
    "img=cv2.merge((b,g,r))\n",
    "plt.imshow(img)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sobelx = cv2.Sobel(img,cv2.CV_64F,1,0,ksize=3)\n",
    "plt.imshow(sobelx)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "sobel 算子检测边缘，图像先转换为灰度图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread(\"car.png\")\n",
    "r,g,b=cv2.split(img)\n",
    "img=cv2.merge((b,g,r))\n",
    "img=cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)\n",
    "plt.imshow(img,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sobelx = cv2.Sobel(img,cv2.CV_64F,1,0,ksize=3)\n",
    "sobelx = cv2.convertScaleAbs(sobelx) #对输出进行绝对值处理，避免差值的负数被截断为0\n",
    "plt.imshow(sobelx,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sobely = cv2.Sobel(img,cv2.CV_64F,0,1,ksize=3)\n",
    "sobely = cv2.convertScaleAbs(sobely) #对输出进行绝对值处理，避免差值的负数被截断为0\n",
    "plt.imshow(sobely,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# GX与GY相加\n",
    "sobelxy = cv2.addWeighted(sobelx,0.5,sobely,0.5,0)\n",
    "plt.imshow(sobelxy,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 对边界进行增强\n",
    "ret,sobelxy = cv2.threshold(sobelxy,127,255,cv2.THRESH_BINARY)# 大于127为255，小于127为0\n",
    "plt.imshow(sobelxy,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scharr算子\n",
    "- GXGY比Sobel算子的大"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread(\"car.png\")\n",
    "r,g,b=cv2.split(img)\n",
    "img=cv2.merge((b,g,r))\n",
    "img=cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)\n",
    "plt.imshow(img,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scharrx = cv2.Scharr(img,cv2.CV_64F,1,0)\n",
    "scharrx = cv2.convertScaleAbs(scharrx)\n",
    "scharry = cv2.Scharr(img,cv2.CV_64F,0,1)\n",
    "scharry = cv2.convertScaleAbs(scharry)\n",
    "scharrxy = cv2.addWeighted(scharrx,0.5,scharry,0.5,0)\n",
    "plt.imshow(scharrxy,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 对边界进行增强\n",
    "ret,scharrxy = cv2.threshold(scharrxy,127,255,cv2.THRESH_BINARY)# 大于127为255，小于127为0\n",
    "plt.imshow(scharrxy,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### laplacian算子 拉普拉斯算子\n",
    "- 考虑2阶导，对变化比其他算子更敏感，但对噪音点更敏感"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAABxCAYAAADbEGjnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsvVlsndeVLvj9Z57P4SxRA6khJduSbEWyJdux5dlJXI1UBahq9O08pBuNqpe+711P1a/3sQpooIF6uNV9EaRvdwoodGIkLieBEyW2ZacsW5aswdRASiTFmWfgmad+oL/F72z9pOhUjFYF3ABB8px/2MPaa33rW2vv7XW7XeyUnbJTdspO+eMtgf+/K7BTdspO2Sk75astO4p+p+yUnbJT/sjLjqLfKTtlp+yUP/Kyo+h3yk7ZKTvlj7zsKPqdslN2yk75Iy87in6n7JSdslP+yMtXoug9z/uW53nXPc+74Xne33wV79gpO2Wn7JSdsr3i/aHz6D3PCwL4HMBrAKYB/A7Af+h2u1f+oC/aKTtlp+yUnbKt8lUg+tMAbnS73VvdbrcB4L8C+LOv4D07ZafslJ2yU7ZRQl/BM/cAuCv/TwM4417ked5fA/hrAAiFQqdSqRToXXied9/vbrdr/+t3LPze7/PNCq/9KlcHu/Xh+9imQCCATqcDAAgEAj314TV/qPduVty+9Xv3l3nel63PVn30+77r96m733Wb3evKTrfbvU9++dlWbVGZ3UzGXXnwmw96nd/97nu2W7Yri1ov7ROth989nAMA0Ol07G/e53mezQ+/dj6oLX7jsp37tE1+92w2Znrddvtsq++3eo7neVheXl7qdrtDD2rLV6Ho/Wp+Xy273e4/APgHABgcHOyePXv2vo4MhUIIBAIIBALWKYFAoOc3r/3imQiFQiYYoVAI3W4X7Xb7vgHnPcFgEK1Wq+c5Tj3v+06F0RVC/T8QCCAYDNpz/CZxKBRCrVYDAEQiEQBAo9EAAMRiMbRarfv6he3nu9wJxj7TNnQ6HbtX72fbg8GgPScUCiEYDKLT6fQYIV6zVdFJ69dfOlZ+Y6n9yHZoHVhHfs/2cJzZp25/6GQJh8M9ykj7xS2hUKhH4QSDQbuXcqWl3W5b37XbbTSbTbRarZ56unUJh8P3jQ/HxG+Csz+CwaD1rT6T/eNeG4vF0Gw20el0ep7rN794Tbvdtr9dOdN+6Xa7iEajaLVa1pZms2kyw7HR+vFH52wkEkEgELC+A4BoNGrv1Pv4v58e4PfNZhO1Wg3tdhuBQOA+nbBZv2n71GDrdxxv9qGOz3aAimu09T1uP7tzkZ//4Ac/mNryJV+Ur0LRTwPYJ//vBTC71Q2uVff73lW0rvIIBoMol8smYJ1OB7FYDJFIpGdgtbiCy8/ca9w6uMjDVSQUKj8Fp5OZE4DPUyFWxULBcdESn6l9p21x72M/c2K3Wi0zJKHQhijota5C3apoe/0+81PmrjJThcP38hpX8W9VJzUGbpt0crlKgtfqZ66BBGAKXOvFsdI6+9XJNbyBQACtVgvhcLinbqoc/Qq/36ruWg/KltZZ+3yr8dV5qQaUvwlSVD5brRaazSYikYgBHp2HVLytVguBQADhcNiMl/5fr9etDvp87U/XY+HYeJ7XY9gV9PnNbdcbe5DM/1uKAi7+pgwBsH7Rospe5+yDyleh6H8H4Gue5x0AMAPgvwPw3291Q7fbvU8gXSFkIUJwhbtcLqNWq2FoaAiVSgWFQsGQsgqkO/m2Y30f5OZ1Oh1DIp1OxxA5jQ2FmT98Jn84wfmdKg2ieldA3QntKst2u93znas0XHfQz9tQZa9oz8/LcZ/tCuhm1yoiU0Pm583xue4kdevqFvd6vUfr5oIN12PodruoVCrwPA+xWAykG6nQdPxc1Mv/1XDTILjv0Lpp/VwDR2PgB5LU+/IDFfTaqCxVPtQg8JkuWHAVocpnLBZDIpHo8R4UvLTbbZNPGgC+Q+cPZYDXcHxdQ+hnENUI0MtgvVlXHSeVsQfN9+0Ud54ogGHh+1XZs906h1V22RfBYBDRaHTb9fmDK/put9vyPO8/AvgXAEEA/7nb7X621T3aAS7K0v/VjdbSbrdRrVaRTqdx5swZrK2t4dq1a8jn8+YW6/M2UwZunR5U9Fme5/WgGgq5tk8nCyfTwYMHMTg4CM/z0Gg00O12zWg0m03cunWrh/7hb1VqOhl1IoTD4Z72ue3262utr7qLfI8qWj+vwq/f/IwI6+T2h3o0VKZaF50wrgfDerhejdt/fsadY0nFQmXEcWw2m/Y/ZSoSiSAcDiMUCtlnxWLRF8mz0Oirp+SOrXuvKnI1uPy+2WzeN35+yk9Rox9Y0h/3frdP3XuIPjkPEokEKpVKTz9z/pIydD2DZrNp6F0RuHqmfv+TLuN9BFTtdhu1Ws36OhwOm/fkyu5WIOLfUvyeoTQV5UtBoGvQXMqUc+9BHp+WrwLRo9vt/hTAT7d7vQqdi+QVjW/xPoRCIezfvx+nT59GrVZDLBbDjRs3UK1WUS6XbTLwffoOP2XxZYrrTjUaDUMNtVrNPAtFDeFwGO12G6+99hr27t1ril1dzVqthr//+7+/j4vlsxRh6WesTywW67lO+5rKgMKiE5WT0c9d30z4XTrLr7j9ru8hkuPfVKL0dFwUp4LvKk2/ovVXReXWi78bjQaazWZPnVqtFtLpNILBIGq1GlZWVhCNRpFIJJBIJBCLxVAsFq1Obt+zn9vtdk9/Uzm56Fbbp58r7aPGXl15KkSVb3LhfEYkEoHneajX6z2xBZcLZh+56FfrotTM2toaarUaKpUK6vW69QGNIg0dx1IBiipaXqPjxXmlHoQrk51OB/V6Ha1Wy/h9ypO2Qf/ejGpzr/X73n233/Ndr4zjoW1RZQ/0xmB0fhGIUK9sp3wliv7LFgoKB5xCo1at0+kYQvXjsqLRKJ588kkAQCqVwnPPPQcAeOedd1CpVAwlayE6i0QiqFQqCAaDaDabGB4eRj6ft7qpILCOihC63S6q1arxrKFQyNzXRqOBfD4Pz/NQqVSQSqWwuLiIQCCAkZERZDIZG2zlTYPBIOLxOJLJJObm5pDNZtHtdhGPx21yNZtNU/Sq5Dg5qCBVoWufqxBR2Ogu8znBYPC+gPJmCn0zhesaCY5bX18fyuUyyuUyYrGY/f0nf/IneOONNzA2Noa33noLFy5cQDAYRDabBQBDfcrha1FUrwpFDSKVXqPRQCAQQCwWs36q1+sol8vodDoYGRnB+Pg4jhw5grGxMQDrSCwSiaBUKmF+fh63bt3CjRs3cPXqVezfvx+5XA5zc3M2aRlU1EAn60aFpLLE8fGjRVxPSmW02WyaXOpzKSusS6lUQrfbxd69e9HX14eFhQWsrq5iz549AIC1tTUkEgmkUinU63WUSqUemkCVvH7W6XRQqVSwuLiIM2fO4I033kAikTAUTZnUvlBZq9VqPYaQ8st5z7FRY0UgRZkPBoMIh8NotVqo1+sIhUJ4//33USgULPGCc75arfZ4DjSUKt+boWbXG9kKFPkBCSr2eDyOoaEhDA4OIhAIWB/UajUby5WVFXz22WfI5XJ2L2OP2y0PhaIHYJ2s1l0RZiwWQ6FQQDqdRjQaxcrKClKplCGQM2fO4NChQzYpwuEw9uzZg/HxcUxNTfUIgKIp8mC5XA7RaBTxeBz37t1DNBq1iaNGSIVT0TQFtdFo9CB2FiqXbreLRCKBQqGA/fv3G3pUoQgGgwiFQgiFQhgcHMTi4iIA9NBQwOaehxoMdfXdPtXsFEWJwIYxpbv9hyzhcBipVArlchntdhvJZBIzMzOIxWJ4/fXX8cwzzyCXyyEQCOD111/HN77xDdy6dQuXLl3CzMwM+vr6kEwmUSgUenhMKgl6Mpv1DQDUajVEo1HEYjFDn9VqFdVqFf39/Th58iQOHDiAI0eOIJlMot1uI5/Pm7JYW1tDJBLBgQMHcPjwYbzwwguo1Wq4ffs2/uVf/gXlchmZTMbeSRBB2VOaQP93vS8WPzTtekihUAiVSgXNZhOxWMzknWPZbDaxtLSEgYEBvPTSSzh16hRCoRBKpRLeffddXLx4EcvLy8hkMmi1WigUCr6oXuVF5yvnYigUQjabRSaTQSwW61Hwej//JriIx+O+VIWiWY63/t9oNOz5fNba2hrK5TIajQauX7+OUqlk39MoEsiozLv01lZlM6S/WXH7b3FxEY1GA88++yxee+01JBIJM8LAerZRrVbDxYsXce3aNbRaLWufa2gfVB4aRa+dqgFAlrW1NZtwjUbDEFUoFMKhQ4fw+OOPIxaLYW1tDfF4HAAwPDyMs2fPYnV19T5h5CDz98LCApaWlhCNRnv47Xq9bmljrJsGdVg4gEQWrD8FS70W0ju7d+++T9m6VFV/f78ZpHA4bPSOG0zbrC+VJuF3LhrcDKXzHdq+P0Th+6vVKpLJJBqNBmKxGM6ePYunn34auVzOlGl/fz8A4Otf/zrGxsbwk5/8BCsrKzbGasgULGhd3SAtETn59Ewmg9nZWVSrVTz66KM4deoUDh48iL6+PtRqNeTzeUNXHF8q0VKpZGMbDodx7NgxtNtt/PznP8fc3BwGBgYAoEcm3DFgO1wk6H7uFpcSoHeiMQUi2HA4jLW1NQwODuLll1/GI488gkajgUajgXA4jDNnzuDgwYP44IMP8OmnnyKZTKK/v9+Qrh+NofJPD5uUF99drVaNAgM2AJ22n9dzrJSy4Dv9wBY9FT5fjQCfSWBI0EbDowZG5x/r8KC+3873fuOlf6dSKUxNTRl1trKygnK5bAZPYxrVahXhcBjRaPQ+b2g75aFQ9H6W0+3EZrOJkZERFAoFU771eh27du3C008/jd27dyMQCBhKY3bE2NgYxsbGbPDj8bghH2CDHnrnnXewvLxsbhMAZDKZHl6T9dpMONTS0jXT9indEgwGMTg42ENHuQau2+0il8uZUiGip/LVuIaL9NleV2noPVo/vzFwaRhFnA9CO1t9T8FNp9MolUoolUr4xje+gSeffBLZbNaMuRpZUjfDw8NYWlrCysqKPU8zT/z6Qn+7RiAYDBqXfPz4cbz44osYHR0FAKPjNBisSFKRKpV9tVrFE088geHhYfz85z/HjRs3TIZyudx9mWAqGy6i1353aRK/canX64jFYj1UDb8vl8soFAp44403cPToUYRCIeTzedTrdSQSCQDA1772NQwMDCCbzeJf//VfMT09bcicitqVex1TpSR4Lb0sFk0ZVOrNTS7Q/nAVso47x0T5bnoV0WjU4hBEw5qzrx6P9q328ZdBzQ8qrk5jEgmBXK1Ws74g80AAQbqJ4JQ6ZLvloVD0WlSIVKEkk0nj1ILBINbW1jAwMICTJ0/iyJEjPdwVBYmdQ5e5VquZ0FBxdrtd3LhxA5cuXcLCwgKCwSDS6TQqlYopep2cfshYUbPb+aRLFBHV63VkMhmkUqn7DIlyfkSbyWQS+Xy+R+gUHbqKweUE3fpQgJX2cJX6lw1If5lCBeB5HpaXlzE8PIwXXnjBeHqOSzKZxPLysmVwfPrpp7h06RLy+TzS6TRisRgCgY3FNURBWwWGaQCp4Or1Oqanp/HUU0/h5Zdfxt69e9Htdi1bIxKJmLLi+Lrv02evra0hFoth9+7deO2111Cv13Hz5k0MDAz0IFOgV6mwX1wl6houv75kYf1qtRq63fUFTNVq1eJNBw8exIkTJ9DpdFAul01xBAIB1Ot1VKtVJBIJ7N69G563HqQNBoMoFosW1HTrwvq561SooFyDr8F0RaWUSaWm+C439VP/1kVyHFtmsmh2kSvnrBflUPtQ58K/xYv1A0T6Pz2wdDqNSCSCRqNh1CCBKIPXSvPp87dbHjpFr5aUAx4MBpFIJIxaoQt9/PhxPPHEE0gmk2i1WlhZWcHi4qKhGVrzeDyOXbt2AQBKpRKq1So6nQ6i0SgqlQp+/vOf4/bt25Ymp53NYJKr2PmjE5GCRcXuKngOVrVaxYEDB5BMJnu4QF2tx3symQxyuZzRT4ooqdTcyadGYyv07U4C3vMgtL7dcdyq1Ot1zM7OYmhoCC+//DL6+vosVsHJG4vFLBB49epVvPnmm1hYWMDQ0JCNlfaV1t0vMMxr2M5Op4PV1VWEQiG88cYbyGazhrAIGvQ+vo9/U6k0m02EQiHE43HkcjnLOtm1axdefPFFVKtVLCwsIJlM9ihMlQ1Vbq4h0GvUM3H7OBaL9SC+RqOBtbU1tFotHD58GN/85jftOwa04/E4Wq2WBaOvX7+Ot99+GwsLCxgcHEQoFLIgtWtU3PHW1dVKlVLxah+qEvajtdRDrtVq9y0mc40KaQ4qTGZLkRYh6GPf6biqF/2Hkv+tCttHj4PUEj1w1l2TA0iJqQz+u1T02uFqVTmw7XbbJkmz2cTx48fx1FNPYWhoyDJbfvnLX+Lq1avWIXR/Dh8+jBdffBF79+41Lo8u+4ULFzA5OWkur+d5KBaLhg6UOgBg7roGuRSVU1GxDbyXgxIKhdBsNjE6OopoNNrzXD8KJZVKoa+vD1NTUwDQ066tBHIz106REjMpVGn4UQm8hp9/2YngKiUG+uLxOJ577jmcPn0a9XrdMk8U1UejUXz22Wd4++23MTMzg3379qGvr68nEwXAfUjHRWm8jp5cLBbD6uoqwuEwnnnmGezatQvFYtG8Po5vKpUy6qJUKqFSqZj8pFKpHq9KV8smEgl0u12Mj4/j+eefxz//8z+jUChgdHTUqA010C4PrgZrq+I3TpQ3AppHHnkEL774Ivbt24eVlRUkEgmEw2HUajVLf2w2m5iensYvf/lLXL582cBTuVxGLpczhKl97AZqPc/rUciUNfLubgYXPSM3c8U1cK5RVJ0AbARkKQc0JIzzsB8AmCemmUAs7voCPzly+8BP2foZQb5T5znjGJRlzsdQKGQAk7JGipdegF8W4VbloVD0HEwNNtLKKy/N4Nfx48fx6quvYmRkBO12G4uLi/jwww9x4cIFcz89zzNkNTs7i9nZWezbtw/dbhd9fX2oVqv4yU9+gl//+teIx+NIJBKo1WpIpVLmqhLxeZ5n6U60wpysfulXdCPp2nPylUol229kbGwMnueZgPohIiIRLhqiIqFA6EC7Li2/VyVHAdTVdWqg6MY/SJGT0gDQo7R0YvN7BsRWVlbQaDQwMDCAfD6PVquF73//+3j88cextrZmFAizZmKxGOr1On74wx/i8uXLiMViOHLkCDqdjiljXRuhFIJfP1D5ETUxyHr27Fl861vfwtLSEjzPQzqdxtramsVQmEnzwQcfYHp6GqVSyRTE7t27cezYMRw/fhzJZNI8yWAwiKWlJSQSCVvf8f3vfx9/93d/Z9k+mi8dCARMvtx5oWPmem8EFEzpZeH+LqVSCc899xxeeuklxGIxayM5bMarIpEI/vEf/xGTk5Mol8s4fPiwKXryyJtRBjrunuf1eNOUA2ajBQIBJJNJzM/P45133sH09LTRsRyjzagTInz+reNKL4YyrmClVCphYWGhZ/Eg4wQEaeqhU37Vc9J2+xleXq/yx3qph+oaET6L8qRGUb0upmGq90/6c7vloVD0LBwwKj+1YsvLyxgcHMSBAwdw5swZDA4OWucsLi7io48+Qq1WsywNUjMALM0yHo9bp09PT+P69etoNpuWP6wLq2hxuTET6wTA3Fk3Ss+igqI0FADzEtLpdM8CDhZVzKQP6JKTIvB7p19RgX/Q36zzVkreNRoudaVC2Gg0LPjFrJpOp4OZmRkAwGuvvYbx8XHrAyphz/PMlf3kk08wNTWFeDxuFAPpOBdRunEdDaBqf1EZ1Wo1jI2N4dixYxbHabfblomTSqXQaDTw7rvv4pNPPsHNmzfRbrcRj8cRiUTQ6XQwMTGBmZkZTE1N4cknn8ShQ4esfwgUKD+JRALHjh3DnTt3kM1mzbBrfd2+ZXv86Bq3bRzLUqmEZDKJlZUVHD16FCdOnDAjxH4FgEqlYlTSxYsXcePGDfNgKGMKPPzQrI65W0fWjwqNyrXRaGB1dRW3b9/G7OysZerwWQ+Sa5dG1ViTq5S73fU4D7PHXGrPzQBSGfJrs37v97nGGPzG0aXfWC+XfiQQ08C10lr6vO2Wh0bRUzBUKKj0iXaOHDmCY8eO4eDBgz358MC6UaB7SZcol8vh61//Ok6fPo1du3ahWq3a8wqFgrniq6urlmPMDATmQKfTacuNZxBPd+hzBYxtATaUpy5GqtVqyGQyyGQyxie6RZ8Zi8WQyWQsy4gIRLNvVBlslZ3hFpeOcV3m7dy7WcYC4yiBQMA8GQbET506hZdfftkULJU9PSYq0V//+teoVCoYHh4GsLFQiujWDVTqZNpsUjJg2mw2cfToURw6dMhSDHk/x+b27ds4f/48bt++DWA9IYBKmtzpzMwMVlZWTC4OHz5sXHGtVjMvodls4vTp07h+/TpCoZAtlNPx05Wibp8qWHDHSFFktVpFKBTCrl278Pzzz2N8fNw8QSq7YrFoSv7atWt4++23UalUkMvlLG5E+WIfu4rFVYaazaLtouzrXMjn87YGIpFIIJlM9rRHEbZSUW7f+BlGLQR7fsDAL4vHvffLUpRb0T5atG16r9sml5bze992y0Oj6KlMSXcAsMUfg4ODOHHiBI4fP45du3bZ4ikGd0ZGRvD888/j2rVrNmGDwSCGh4dx4sQJ7N2713J6GXh69NFH8dJLL+HOnTumPIvFoi2gAYDV1VWjWmhpNfCqk0CLO2jqEjIlNJPJ+AYL9RlUmNlsFvF43BbsaPFTZJt95wqfy30qMgHQQwe4bXNdWNc7CAbXdx3kZ1yQxHgJV11qfxKt3759G+fOncOdO3eQSqXsmQwYEg3zc79MEGCDVlOkxSB7Op3GoUOHEI1GUSqV7N2JRAKRSASTk5P4zW9+g4WFBUQiEduPiJRSp9PB8PCwyeL169dRKBQwODiIgYGBHuXL9R379u1DPB43Y0+ZIDBRQ8kx0Ynu502x8H3hcBgLCwv4i7/4C4yPj/csoqLh5V40t27dws9+9jPcvn3bspi4PkFpgc24aVeWtI4q24FAoAdVc4ETQYy79YN6KwRILm2i1/nRp6yfu6qbY6Lt8LtXf/8+ZTMvyKVedN2NZsFtJgNuHbdbHhpFD6wjtmQy2cN35XI5nDlzBqdOnUIulwNw/1anmUwGJ0+exCOPPGKTmVsQMOhKhNLtrgepMpkMnnnmGZw6dQqVSsUQKCfG4uIifvvb31qqmgqNyyMC9y9M4me8nr+bzSaGhoaMVvKjQ9xnpFIppNNpoz3YbhfJ+Fn4rQREJ4ginAcFAAF/Ra/1Uk8lkUhgfn4e8XgcTz/9NMbGxlCtVnv41UQigVarhVu3buHcuXO4fPkyotEostmsbXUbj8dtNa27SljroP2ovwFY2uTBgwexZ88eSyGkfDAT6/r167h+/Tq63fXdGNPpdE/eNhevMO+/UqlgcnISly5dwksvvdSDRHUF5sjICO7cuWPAhkhXaSm38DMqAn6mgXzWIRQKIZ1O44knnkAoFEKxWDR+nPf09/fjxo0beOuttzAxMWHyBcAWI5KuZJxM5cc1SPxc6RptG8eYKJnfRyIRy5ZRudSMG77Hz3tme9wttvW3W+/NqJV/S1FF7HokW9WLfcJraYhVv5DhcPvHr41blYdG0RMBqvIJh8MYGhrCyZMnDQGvra3dd284HEY6nUY2mzWXmcaiVCpZh8ZiMeMpy+UyotEoBgcHUa/XbbJxoJLJJN577z3k83lz/1T4OOEB/6XqaljcHQtHRkZ6hNNP2fNvKsFcLmf/+w20qyC2cutUKSs6exDV41df93mKpoleuXfMiRMncPToURNe98CJ5eVl/O53v8PFixfR7a7v66NbSVB5avFT9u5kViVBo37kyBGkUimsrKxYAJYKOZ/P4+7du4a8qVCIRjVnm3IFrHst7777Lp5++mmkUik0m01UKhWUSqX7FH21WrWsK5eH3ayfWdgP6s202+ubiWWzWbzyyivmeVCmeX00GsXCwgLOnTuHS5cuIRKJ2FqNSqViCw25l0q3ux4nIm22mSwoMmX92GYNerocPA2cGi0WFzRs5fHovON3/N81Evzfj+bciirZrLgezlbzlNexXhpQ1vgDPT0/2kyfs93y0Ch6onTy8jqZyMUzuNftdi0Vr9FooFwuAwAKhQJ2795tKV7cRwVYp2Ho/tfrdUPqVMhMryQPThTCHypmdrxLa7gIRBWersCLRCK29YGLcDZz9xKJBAYGBgxl6cTwK6p4tyou9aSurYtS3GdvpujZDh76ks/nsbq6ing8jq9//evo6+tDsVjsiccwI+nGjRuYmJhAvV7H0NCQBT25dw2RqS6Hd9vjNyZKNzWbTWSzWVsY5RrVWq2GyclJ3L59uyfbAdhIzaNskMohMm21Wrh58ybm5ubw6KOPWoYPV/hGIhFbA1Cv1xGJRMy4+O0p5CoQtz28hnGnWCxmO7iWy2XLqNHVu/l8Hr/4xS9w8eJFRCIRpNNpeJ5n60c2y8JyEakfneRmBalMc97qNhU6Xi4d5QKPzTwdV0G7ssu1GQpqlLpxn0W5+jLK3m+u+N1PoOeic1fRazzDfb773u2Wh0LRs3MSiQSy2SxWVlZsleSnn36KTCaDN954A/39/ZY1EI/Hsbi4iPfeew+//e1vLQ97ZWUFg4OD+O53v4vnnnsOzWYT1WoVqVQKwWAQv/nNb/DTn/4UxWLR8onD4TBef/11nDp1ylI8ySnToKj7yZx+VSDaDh0wLkvnikWuPGS6KO9zB00FPBaLoa+vr0dBAJsPtFuvzYoGcF1k/6CiawW0zSzlchkrKyvodDrIZDI4e/Ysjh07ZnEQbjJFo8VxKRQKFoehgaSyqlQqPYuC3LawDnqEnU480hB79uxBJpOx/ZPy+TwymQza7TYKhQImJiZQq9Wwe/duM/LMm2cgl88n3xyNRrFv3z5Uq1Vcu3YN4+Pjtro6EAjY2QgDAwNIJBK2VkO9TzcDQ1169Sj502q1DOg0m008+uij+N73vmcxJaXi6D289dZb+OCDD+B5nm2vQfBDz4TbT1CouK9/AAAgAElEQVT5sO6b0SIEYaqoWW8Fb3weFwDR+OmeLi6dCKAH1GgdFCC5yF7jMy5Sd70992+3n7cqCjj86CW3aBKF5tC7wEXro/3iF5PaTnkoFD2wMahra2sIh8MmGAMDA7h8+TImJycRDAbxl3/5lzhw4AA6nQ4KhQI++eQTC66R/y4Wi5iYmMDRo0cxNDTUI3Qff/xxz77PsVgMV65cAQCcPHmyB0Emk0mUy2Vzf4l8ANgKSr9Cgebg8BndbhdDQ0NIJpM9aWWabuUOOv9PpVLo7+/H/Pw8Go1GT962vhfYUPBUUhRcTQnVFZR8nyvsWwmVupg0hOrFMKVwYmICTzzxBJ599lkzrsViEfF4HI1Gw9r0q1/9CvV6HX19fcaBK/9Kb4yo3PUy/OqpC3KURkin04jH49YnTAFNp9O4ceMGpqenrX2JRMKeo33HsWFwk15kOp3G3bt3bUtqeohM7e3r68PIyAgWFhZQLpeRzWYN8bPOrmLSNEcAFpgfGBjA/Py8BYa/853vYG1tDX19fbbilwaB211/9NFHCAaDtrMklTvHmopIPVgX0W/W14x/lEqlnkwqVVJcAxGNRk0eNRFDi3rPKqOqSDVep/drn9EguIFZTZP2o3U0s0tpKRaVKzXKrvLX/3WuEDAwLsT2sV5qOPUEO3pq/+72owf8N9CiYiX/uLq6ilu3buHQoUM9KyeJDLgfTq1WM+UaCARs8Qd5V6afMYVydHQU9Xodi4uL6O/vt0lJ1KHowLWurvvpKksW5sH39/f35O8qUlNlq0E6cqtM/QR6N/LSZ7Hv+FtX9WpAbqu+/zLjpbwi30uhXlpaQi6Xw1NPPWWr/bjqlZTWvXv38Lvf/Q4rKyu2HJz1c11XF82x3ZwQOpnUW9H/SdPp9drfXD7P/iB159ZD283v2KZKpWL9zms45vF43LxB3qu0jSojV7F4ntejKMvlMoLBIAqFgm1zGwwGsbq6img0alsQs04ff/yxUVe8VhWZvpf9SoWj60u07bzO3WrbvV93QuW40CPy2xNHix/wcd/D7/g5/3eNpj5T5djl8lV+tP/9ih/lpn+7oESNAuVTEz1YH3r97vgQeP67XDDlThrtHD0CbHl52QaHe9gUCgVzQXXlYqPRQKVSMdQVj8exe/duzM7O2mQkRURqhVSO7oanf1NwXWW5laAS1XBrYkUM5EXdbAV128gV9/f349atW77vdF1+Ci7Qe1i5utbuZGXh/Vtx/G4GiBYaJ648PX78uAlzs9m0HPJAIGC56vRa6E2pcXXbyL6igXS5a9dYapuJrrWvNHDI4DHvV69JFS+RFZ9NL5EbiSm9o/JCBcy6ctK6HpVbFJXSS+A5ybt378ZTTz1lBqRQKCCZTKLb3Tio5uLFi/jd735nwEe3XHbbp/QJZUGDh34Imf1C70b3jPKjMjajONQAu+jZ/VzH25Vftof36md6rR8t5Pa7+4wHUTouzabvURlWoOEXc1NjyWvdLJ3tlodC0fsJNyewZq7wMAp20ujoKJ544gksLS3h9u3bRkf09fVh9+7dloXDZda7du3CE088gYmJCSwvL1sQt9vtYv/+/cYNk8slX6+KXuur7p0iAQ605sWy7Nu3z75zFbIqeD6P/ycSCQwODprycDN5XJea3g4NhXsdA8N8l2sothJkvY5CqijI89ZP08pms3j66afNE2GAkJ5aqVTC7du3MTc3Z33PflAF4YfQVHb8vChV9n71BXo3kVOFrZSXvsfle11jyH10KFcqJ0ox8P9Wq2WxJT04Q/tY5YHJBWtra7ZnU61Ws/gVD1BJpVK2v0sul7OUVe76yffRiOk73f1fXJrGBRDa/+xHN5NI547rXbpJDarQ3D5w5dIFhPq5W28XlLiKn+BE28brtC3aJlcO3XqpzOl17rx3ZVhRvUsbKqJ/0BzV8lAoelUum01kXUEJrA9ENpu1JezcB4cDduDAAUtxo0B2Oh0cOnQI3/jGN9BoNAx5pVIpHD58GENDQ6hWqygUCmYcOMGAXiHVvGC2AehNq6RS4U8qlcLo6KhvG10aSPuGz+SKTd0ISoVa3U0/xa2T6MugAb9Cha0eiCKe1dVVPPvssxgfH7dUSi7DZ11mZmZw8+ZNAOubtzETigujXFpIJ5/7bneScgzcftzMe+IPd8XkuOjkU6qDhkj7mkCDfKpOcNZdja62xVXqroLT38FgEOVyGfV6HWNjYzh16pRt60A+vlgsIhKJYGVlBR988AFu3LiBoaEhpNNp81RYfz/vSftY2+jW2UW8NJRuuqWfUtT+dakT/dFMGj/k7veZFr954cqFtl/Hxu8Z7v1u2a4Spl7gc2hUKDvc0VLnqvbdVh63Wx4KRQ9sDIIrbOoSFotF4z4p6KlUCk888YQpAm4YpQiKyLbRaGBoaAjf/va3LdBKb4E7KgIbe5avra2h2+0aqteOdfld/u1aZ6aHckUsF/24aNVVOO7n9GiGhoaMvnGRhpZAIGABHg3OUlmRMvKjDbYjRGo8NKjbbq9vDZBOp/Htb3/bBJmfMYB07949nD9/Hnfv3kUul7PJrMKvikLfw/rpKmgXIbnGTbNkCoWCUS+dTsdOKOp21ze8GxoasmPe+AzXG/BL8QwGg1heXsajjz5qgVj2NbdDyOfzqFQqFosgd60plq7HyPeHQiEsLy/b4q1EIoHvfe97CAbXFwV2u1309/ejXC7biuI333wTb7/9NoaHh+10InoP9OhIM6nS1jHezINyKUalyvi9erw6rhqI1bnlKnntf1XsLpBxFbDOAy1qTHi/et96nQILpXweVBd3bvt5F9pP+g79W9cVuXVQOdlOeagUPRvvWkO17OQWg8GgHarAjaY8z7vvkBAiQ6ZxMdOlVCqZK8vO5MpC7nnf7fae2kMB0cOeFb2zrsD9g0w32vO8HlqC7WGOOH805YwximQyicHBQdy6dasn55nv1QnkCj+/o4J0UZJO3s28CxUsFUJFHKQkXn75Zcus0cwWor5bt27hzp075unwnFOiYhrbWq12X3YRsLHfje4UyvqRKtK2sU+bzabts8L6VqtVO2WKe8ovLCwYF16v183Yuz/afsrG7t27kU6njcIJBAK2AyRPx6L7zX5Rz3OrWIr2y8mTJzE8PGzHGVJxFgoFpFIpW6nb6XTMS+I2ILqIyZ1vOndcuVZ5YlFZcw0VPQdXkeszXXCj8uYqQH2nvlvn4Gb13Kz4KWe//11+XwGFi+Ld+igroEYQ2NAjSiPRGLvAh5+rh7ud8lAo+q1cMHYk97bhgblcsr28vIzZ2VksLS2Zy9zf34+xsTH09/cbumdgiPROsVjEvXv3EIvFMDIyYvvDc18QYGO/dqUm6JbS6HBgeJ3+5t8cVJ70rrykbmxGZc8VoQxeclJSCbn51iogGjB2vRA9WpB0EP/WuvIzl6PWohF/Fw1Go1GcPn3a0Fo+n8fw8LAd7l6tVnHlyhWsrq72LLdPpVK2JxFRFnOu+R6tM9uuyl7r63pFfCb3nY/FYhaw10O1GcgkRUYjqROLdXFRGAA7IpJ9QsVMec3n86jVambQaIBco6S0H99BWqZer+PkyZOG7NmGQqGARqOBYrGI3/zmN1hcXLSttzOZjBlOgh/P21gF66J0VUZKi7H/XSqQ11BR1Wo1G0v12Dg2lGsXWNBouXpBs91YWA8/z5TFj0ZR5ewGpflcfZefd+M+x73f73O9Xg2U0mTuho0aP+K81P7fTnkoFD3Qu0kYO14VGjePokAx6+DcuXP46KOP7BnMfHj55Zfx6quvIpFI2Ek7e/bswdWrV/FP//RPWF1dBbDONSeTSTz55JP4zne+AwB2CHmhUDB3lwLBIJbSBCwaUOME5QReWFjAgQMHLD0O2DhEhKffvPPOO2g0Gvjud7+LQCDQs6siD4gg/UFKiALB+nW73Z4j4jjJiNB4DxUX88m5BztzeJvNJtLp9H3ITQOITEMlAm42mygWizh9+jTW1taQTqfRarUstkBBvnz5Mq5cuYJEImEoPpFI9BzyzGAi9yxi/7K/ut31PYuAdX6fsYtqtdpzqhBpOyrWYHD9aLy7d+/aQRzhcNgC3QAsBXZ1dRXDw8MYGBhAIBCwswmKxSJCoRBGRkZ69vRZWlpCLBbD2NiYceWrq6soFosIh8MW/ykWiz2ojp4DsJGPDmwcYs7CWNTS0pKBE8aZisUi8vk8UqkUkskkrly5gomJCXsHaStuA8I0Uip2xlEou6pANfCv6X6UccoFvR+VT6Ynl0olhEIh60vKkwZuVYFxrDXwqLKoxhvoRbscdzc/3wWSLmrn3j6K0tWYb6a3WB/3Hbr+hsaU401DqAF83RKdtDTnJueOph//u0uvpKLaiqcn3UHEW6vVDB11u10MDw+j2WxicXERhUIBMzMzKJVKlrIXjUYxNTWF999/H3fv3jVl3ul0kM/nEQqFcOrUKTuxqtlsIpfL2XmbrKNyw1TEnICuhSY3y9WsXBVJAeZ+J+VyGdeuXcOFCxfsUJITJ04A6A3M8V0uN60cLoAeA8k+5LP4HdP09B08jYfbKNO4qHHg9Ty0otPpWGyDSuLMmTPo6+szL4zKfHh4GLdv38bFixctxU+VHVd6kirhlrk8uIJ9wA3NmH+t7SBFQWPFVFl+HovFsLKygmvXruHgwYNIpVKWblmr1RCJRHD06FFUKhW8//77yOfzpqTGxsaM/261WnY8YDwex/LyMubn5/H666/bbqlzc3MW1E+lUkilUraOQClC9RK5o2O32zXZIRjJ5/OG9k+ePGkKgmienkQymbSzFii7BA7qHaqnopyx0kScl+4JUy61pLtTso4EHOwD9sny8jI6nY7tFKoeMeknDULqqls/ikgpXd3bhyDPpThUyfPd9AyVAuXnD9JbQC99uRXt4+e1sfAZlHdumKfehZ+XsJ3yUCh6YGMVp3aGFn6nVprKktwq9w7hsnTlq+PxOObn57GysgIAyGazpiyo7Il4+Hc6nUahUOgZDAo4FQkRtKILYIOf5CQJh8O26pPPYd0CgQAmJyctbW5ychKnTp3qOX0nHo/bfujZbNYmraIs0j3AxgR0g5SKwoiKQ6GQ7fleLpfNA+JhH3wHM0ro5RABkaJpNpuIx+M4duwYPM/D5OSkjVuxWEQ2m8XNmzdx5coV25KCiof7tTComEwmbQUxkQwPICFqZGBRtyFgxgzHh3VWo7i2tobPP/8cr7/+Ovr6+mxHTE6ooaEhS9udnJy0c2Dv3LkDYN2D6HQ6iMfjSKVSdp7ByZMn8cILL6DdbhvQGBgYQCwWM0/p3r17Fm8hgqbHoaczsW/oQVarVVPKg4ODloDAe7jDJsd2YmLC1pZwsRqVtcoBsEEZqnLTuAP7U1G0G9TUOaCAggqU2xGrt65I3100ReDixsDUEFEfdLtdi6MpiKIydWk9pYR0GxINtPO92+HB/a5xlbLSXPo+d26qcaAXrgabz/iy1M3283O+wsIKa6aMa7UUHfA4tv7+ftv8qlgsWjA1mUwaUiPiq9frGBgYwNjYGHK5nCFIukvpdNqEQjlnl1Nj4XXkkWmoqGi4NwufpfvdkG7h+7j5VzqdRjKZRKFQsOvZLk4Y7mRZq9XM8tPb8eMaiTq0/qx7f38/IpEIKpUK8vm8IWAu6qGQ0WBxAsRiMVQqFZtkVFb1eh2jo6OG9qmcifoXFhZw+/btnuA4lQGfn0gkeqgYbrPLviV1F41GbT8cTohqtWqHnKhyJw/PBUaBwPrhGzdv3rR8frrHevzfK6+8gmaziTt37iASiSCbzZqXQc9qfn4eMzMz6Ovrw9mzZ7Fnzx5MT0/bTpL9/f0WbJ6ensbi4qKNPb0TbkXgeevJBKurq4b8s9msxajoxY6MjCAajWJubs6UNzcnCwQCuHv3ru0pxP6kIQDQk2XE+aL0n/5Q6dOIKtXiUhyuEuaY0ONSkFQul1EqlXrmIeVZZc19Lt/vBn05P5LJJDKZDFKplMXY1OvVuaAeqgssOUeUhnWvURDlFlXYfJ/OTe0jvo+nyXH1NPWIJm+w3qTGtlseCkSvAuN2HgeIC0G4qKbT6WDPnj14/fXXMTg4iLm5ORPMoaEhHDhwwPYp4f3JZBLPP/88arUa7t69a/RFX18fnn76aeRyOZRKJeRyORSLRZTL5ftQOotyqsrfA/efb+l5Hvbu3Yt4PI5isWjCSqU6NzdnpxhRIVSrVfT19Rma1mMOBwYGMDMzY+6+8t8aw1Alr4LCvs7n86ZkKpWKGVDywqRyqBAo9Dx4g2idCo/9y/TR/v5+hMNhOxP2/PnzePfdd+0d3JBL9z3n9gRcpUyDp4KvqIhbYJDz5FmpyoG77jvPB/7Zz36GZDKJAwcOWMojt7HudDo4cOAA/uqv/goff/wxZmdnrW+5+ybl7ezZs3juuefQ399vnPyePXsQDAbt8JqpqSm89dZbRuMoTUB5SCaT5q1w3xjN+OLBM88//7yNJQ8w4f431WoVP/rRj5DL5RCPx03+aBDowVJZkGLhmLoBR35Gb1nngHqQGoylXNPQ0hsA1gEbD1VvNBrYtWuXeXRqfDh2rVarZ2GfWzcaf4I5TZJw2+ICNraLbWQblLoiiNEgqPaDGydQI0TdoHNOdZ5m1hBYEQDwWUpp6/2ul/Kg8lAoeu1YdpC6iXRR6YZSSYTDYYyNjdm+HWqlh4eH7RBwAIak9+7di+effx4rKyvG9YdCIct9Jn9IqkIXz+igA70ZNUQlFD5aaAru8PCwITjWn5NkdXUV7fb6qkeeaDU/P49MJoNcLmfombnYDGjRWGggWzlAFQTl+lXpkzLgJAE2tjAgJw6gh3Ml8uUz+JxHHnkEY2NjJrCKwMhrK8Imf59IJGyiMkhOiiiTydjE7XQ6hvRrtVoP6lPKisbUzzVmYLHRaGB6ehoXLlzAoUOHkMvljErgOKytreHYsWMYGxvDp59+irm5OZTLZUxNTaFcLuPIkSMYHBzEnj17kM1msba2ZhOUQVXWe3Z2Fjdu3MDw8LApYHXPaThZT463HtCSz+dx7NgxDAwM9MRoCALa7TZu3ryJqakp7N+/3/qQ2WTc8oP0Zr1et9RS9Qo1zkSFpEqS8qWKUGlS9bhIXTKlMxqNoq+vDwMDA2YU6Wnou13k6ke/UPY0QMx7YrGYLcJzV5aqzvFTln5Ukaun9FoWNyDr0l9u3TnWjNlwDLX/+VyXknUzlR5UHgpF71pd1zUjR03XnOiCWSO7du0yIdJ8ZJ7lSYGnsn7kkUcMKXCiMXDDTAcOguY2E4W5qyJdfk2VDJUeAytE4TqxNXWUE3p+fh6HDx82qoR1icViGBoaMiWvWRn0Mlg3nRzan+xvIodcLoe+vj7U63Xk83mrMyeMOzZE9vQASqUSAoEAHnvsMfT19ZlxoDImcjpy5Aj+9E//FMvLy0br8OxSnuPL1EPGCfScXKYFsq/cSeZHB3meZ2OqvDGNypUrV3Dp0iUcP368h6fl3ysrK4hGo3j88cfx2GOPYXV1FceOHUOtVsPg4KCdKUzqh9sSK8c8Pz+PK1eumMyxT/g9J7d+xgwWIl1g3RN58sknbRz1PnoEPIWM/DWfxTZRPokgldbgbx1vt09IlSkHzc/pmakSU8qNNCPPcqaXwTao16XKnkraL3BJI0Q5LRQKmJ2dtQw95f61bqy/prXq83m9/la5UADqKlzXqGjfa3upj0gDco8lyoQmeFB3qKL/Mhz9Q6HotWzWCCqU1dVVLCwsGPJl+hZRENPyKOjcJIsCwa1yyRNyPxtOVD1oggdyU4kwAKn8Pd9Ny6wKnoNFbp1cPo0H71lZWTGhYfri4uIigI0gNSedpqhRWJXuUg+DAuiiF96ztraGEydO4MyZMzh48CCWl5dx4cIF3Lp1y+ICSgvReLjP5eQlXREIBAyhs/87nQ4effRR7N+/H2tra9i1a5c9j6iQ2RbLy8u4evUq5ubmMDMz00NvsC460VgXKjSeGsbAPbOuVDkR2RYKBfzmN7/B6Ogo+vv7LVuIO28yjTeZTCISiaC/vx8HDx5EIBDAvXv34HmexYMSiYQZcFJNq6ur+OSTTzAxMdGTWujSa+wDTuR4PG77xJOzf+SRR3D69Gk7UrNcLsPzPDvUu9NZz2QZGxszeaV3Qi8C2MjrZ3/QmCrydY0DZctFwJR/RaSKsEkrMUOoVqthaGgIg4ODSKVSPTSPepuKapVSYVFqhjJUq9Vw48YNvPPOO/j444+xtrZmNJnKq7IFW62B8Qt4unPILVspec5Nt09d75d0EvWBLjRU/bidQDHLQ6HodQK70fpQaONw42g0imKxiB/84AcYGhqy+4nYXZcL2IjeUwlrpgeVFo0EjyTkKUNE7nQ7WTihlOd0hVAVUS6Xs8OleZ8uUpmZmbEDwLnx18zMjAVHgY3UPwCmdHR1petaU8Eq+qOQsN65XA7f/OY3MTo6ilarhfHxcTuR68MPPzTUxz7SPbG73fW99WdnZ9FoNPDYY49ZQJvIjdtAx2IxVKtVW4zE/GDl5ll/Hgyyd+9etNttnDt3Dp999pm1n8iQBp5Km8ZFx5J9R5liOzhJuO/Lp59+ihdeeAEjIyMWX2BWFhUZzx+IRCIoFArodrum2DneqigDgfXVsJ9//jkuX74Mz/MwODjYk/4HbMQcCAgYn9DU0GQyiVqthvHxcXtvsVjs2bSOoOOb3/ymoeX+/v6exVukI1dXVzE7O4u7d+9iZmYGc3NzxptzDICNE7WUanTpHM4hRZ9EqKrUOIeYsUS6UPtAkzF0vDQzxs/joIzSmPOgIa0f26RzlLrDLWoQ/FC9zjONeeh88zuoxfWOmO1EHUfQRABIEMOtpv0CwtstD4Wi14nCiQVsWE263oVCASsrK8jn87h27VrPxmPamVu9h9eowMTjcVQqFXP1iH4ikQj6+vos150cJ9E5cH/Ouluo8BKJhNWVRovf02Uj70p0wtRHDWYBMCrHPUlJXWm3+PGKhw8fNr6Xqy0zmQyOHDliOf1UopqVQUTNAzNKpRKGh4ctVkKFq0vtOZbkhhls5T3Axr5AVNLtdhuvvPIKTp06hYsXL+LTTz9FoVBANptFKLS+7wvjIWyjoiZFb0BvIJoKjNQZ6SL2OVEos7woNxpbIfVAo830UnphxWIRH3zwAZaWlnD48GHLhHGpBB0z9XAoK1QC4+PjSKfTNn5E0erZ8KBvAhzWWQ8j52Krxx9/HKurq1haWsKPfvQjC/5SsZNm0gC4zk1Fo9qvrvfItlLhcoyY/eMCCDUQGiT1k2k3vqFpz7rYcbPi91wN4roK3v3tGgWlnbXtbn+4XLxbDxoRV7fpe6hDtlMeCkUPbDQMgDWQAdRgMGiHNzOAx9xcoNeldBX/Zu/SvzudDrLZbA/iZUofg0l8F5EdkaEifa0HBbDRaGDfvn2Wp04FrfTR6uqqoUMqv4WFBczNzdlePBqBz2aziMViPe63CpK2QwPcLBTkgYEBUzasDycN72ccQHlCvkO548OHDyObzdrzWT/y9HwmvSuitXa7bStHdTEUFWo+n0cikcALL7yAw4cP49y5c5iamjJjyYwRKmeieVf5u0gwHA7b/jae52HXrl0WNHaD8VR2dKO1z8mpE1VXq1XLnkkmkxgfH8fk5KShTEWIrsJgu13jBABjY2N47LHHkEgkLKdec9cZEOfc0QWGGuyjJ8XPh4eHMTw8jL/927/F+++/jwsXLmB1ddVoN44j38U6s38VhHBMdbxZF85bph1TzjTQ7iJf/nYPJlcKThcdUZZJnW0VrPTz/FVG/GgZjpFy7NoX7hxUA+nWhc/QGIrLSHCRnHoPrAMB4nbLQ6HoFSkpQuAZq7t27UK5XO6xZJ7nGeftDpKr7DnZNaCx2YCx0/kuKrlEIgHP82ySKc/nWnKdwIFAAH19fZaBoK4+lRwXZ7EvuC5gcXERX/va1+xz1jsSiZj7vhki4D2b9TcATExM4NSpU9i7d69N7GazaambVBCK5vX+QGB9h8yhoSHLjqGbTSOg6Zr02NivFFq2mV6CojzylqHQ+qlgL7zwAt577z189tlnZow5Xiy63JzjoHJANMmTyM6ePduz1xGpISoQyhzRONcWsG40fqSoqJzS6TSef/55FAoFXL58GcPDwzbh/dx6zalm31Bx7du3z8aH4IdtZP8oDaHGjc8lkKD3TOqMoOnkyZPo7+/Hxx9/jCtXrvQEGnUxo84vrYMf2OAYsq00oGqANDWZ80NzxDdTpJQp0kWkUKhgt5obLH4K3S8Woe10dY0fqHT5ffc9Wj+lq7V9BL5+sTECou2Wh0LRAxv7XgAwNBKJRLB//347ik7dRxUy3q+/9bnuxHHTsbgtgU40FdB79+5hYmKi54xX5VpdoWIdWq0WUqkUMpmMZVEA6Am8zc/PWx35bAo6g33A/YKSy+WwuLh4H1XjR924fcL++Oyzz3DhwgXLVmk2m7h+/Tree+892/RL+UcXdXU6HVSrVezevdsMIXldpq0S7XLi837mvrM/NIbCulDhklrqdDoYGRnBk08+iWq1io8//hiBQMBW8BKpss1aZ51M9KTK5TIOHz6MV155xdCm1lnpC6UnqFgTiYQZJ24XwXaxPbt27cKzzz6LpaUlLC4u9sSW3KLZWC53Pz4+bnLPfuK4+Hm0ut5E0b2rmOkJlMtl9PX14ejRo0YzTkxMYGVlpWc3UJcW077ejD7lGgcaTAZhgd6ts10Z47M14M6injO9BSJexog042YzD9/19HSOuNfoZ36emV7PcXKfr3qK1/gZSfd5qlvUiG63PDSKnpOdLjKwzp3v27cPJ06cMOSkwqAN1k5wiyuAflZYB0yfyaX158+fR7PZtH2+leLYrMO73fVFQ0y5oyJkULHb7WJubu6+iUqDs7CwYBOUE4zGZ3BwEHfv3u3ZYM1tL+ulbeP97ClCtNMAACAASURBVO9f//rXmJqawr59+1Cv13Hx4kXcuXMHBw8eBLBBQWm/sZ+JLnfv3m1ZH6wvV5hSsYZCIUOk3OqAC7IA2Jm4PBWMk4QZBwxQtVotjI6O4sSJE7h48SKq1aopXM2ycn/Ug6MSzeVyePXVVzE0NGQonwqn2+0alVQulzEzM4OZmRnb/C2TyWD//v0YGBiw7TdomBi7oBwfOHAAzzzzDH7605/28LWUSXdslBfvdNa3f9ADawhClOZhfTVdkO9RasDdQ0bvJS25f/9+W/h2+fJlZDIZMxYuvcK+dakolUV6EVTq5XIZy8vLWFlZMUDBxAulfyi/GhfQOc72kHoMh8NYXl42Ko+GczMl7/dMdw75jZULuvzqxfm3mSHRuaL6Q8dN55p6RUqbbbc8NIpeuVRVJIFAAJlMxmgKDh7Qu2hCg5Ism7lsrgtG2sgNNKlbValUjG4g0uOzNjMuVCZURHTp9eSr5eVlU4icDEQwTLvUPmL7BwYGLHfZFWQiNReBaLsAYO/evZifn8f58+dx8eJF44gHBgZ6Vieq4tAcXwYjmTGkC2uADQXDzKR6vY7JyUncunUL+XzeDuHgMzOZDPbt24eDBw9ibGzM+oWolkHqWCyGffv2YWxsDHfv3kWlUjEUqotrdIGbUg2MGzz77LM4fPiw9Q/5fgBm0K9du4YrV67g888/x8LCgi2oSqVS6O/vxyOPPIJTp05ZDIbvIhVGoHDs2DFMTExgdnb2PhTnyib7T+nDgYGBniwvyhg9IPWIKSc0pgwmh0Ih2zJEt86ghxIIBMwTI8Cam5tDqVSynUhVAbpKfjNErs8vl8u4cuUKfvvb3+Lu3bs961ZcRU+ZYyaY3xwDYJvgMc5UKBTQ19fXc81mxfVK2O8srvL2owP9vGp93mZ1UArUT2+xv/1Q/pfNwHmgovc87z8D+G8ALHS73WNffNYP4P8GMA5gEsB/2+12V731N/89gDcAVAD8D91u98J2KqJKRX/fvn0bv/rVr4zTU56VvCa/007RzlGErp+xkLrhBFRFUa1WMTs7axFuN41KA5jqRlPZ9vX1GdoF0JMG2u12bXsA5VHpenNFIRU6691sNtHX12c8Pd+t/UiDoJSQPp91Z1YR25XJZBCLxVAsFi1f2xVUTkSeC8ANylShMsjJbQyq1SrOnz+PS5cuYWpqCgAsE4RUjed5uH37NiYmJnD8+HFbBcrl+QziNRoNxONxPProo7h58ybK5XKPB0FqjXXVxUH1et1WtZ4+fdo+12wfZhpNTEzgxz/+Maanp81bSKfTlt8+MTGBUqmESqWCY8eOYc+ePbbpmspSu91Gf38/Hn/8cdy+fbvnHZThL+bVfaspm82mnafLNR2kGZU+pIFiP9GoMKOIMZcjR45gbGzMNhkDYJuAcUfRWq2GVCqFQ4cO4eTJk3jzzTeRyWR66AXWQz1QpUdpdDnOwLqH3mw2cfXqVdy8eROlUgmZTMYy3lxlyeK3p4tSH6w/N5nTLC7KwHa8fZdacctmnLgfzbPZM7S02+379IpSyyrHrifBubXdsh1E/38A+N8A/Bf57G8A/LLb7f4nz/P+5ov//xcA3wbwtS9+zgD437/4/eCKSEqZNvDGjRv4/PPPbTMpl8rQe1j0f1Xcmkev+3QMDAygXC7bpkKsSyQSQa1Ww9TUFMLhsHkVTK9kLnu3271P0VPYc7lcD4JPJpOoVquIRCJ2HCLzoSmMzLzRU49UAVBBZ7NZo370fgqF6/pq1gz7xvO8nklMhJLJZHpSXRUZ62pHrg6li87nE+EzMDo1NYVf/OIXyOfztvCISpjv4ArTa9euYXp6Gu12G9/4xjfsmrW1NatzOBzGwYMHe86gJQfMZ3FcKDcMfne7XRw9etS2LSCSZUyl3V7fSuBXv/oVpqenbTMzPf6vWq1ayu25c+cwPT2N119/HUeOHEGn07FDTTiBo9EoDhw4YIqUXh7ROfvNVSblchmHDh0yxZZKpVAqlex/KnAq+pmZGXz66ad45513sLy8jGAwaEalWq3io48+wtGjR3H06FEcPnwYIyMj5ilw1TnHmjuRvvnmm4b0CWpIoynSVW+bni/lhbIbDoeRz+cxMDCA0dFR32A6r3UpIT9Fy35QD93zPKMEFQDyO1Xmur5Elb0iclenKFjSv12KUOkWP2pHPWBV6LqegPOe9WR/ad9vpzxQ0Xe73XOe5407H/8ZgBe/+Pv/BPArrCv6PwPwX7rrNTjveV7O87zd3W733oPeo0cAuhaZg8j9uTudDpLJpOVkU7G4g6NumbsCTgsnpvKXfL9yfYlEwvYuVzeZz3C5w1gshoGBAVNGbAMXlExOTqJQKJjRoDvGQGSj0cDc3Bz6+vp62sCUR6ZZKm+nVl4XCqlrrRyf6wH5uZCuF8S6BINB9PX19exNr4aV/7///vt48803Ua/X0d/fb7uKkhcnh8/sD24V/cMf/hCZTAaPP/54D3VExTU0NISXXnoJ586dM+XJMSPlQbqHxiEUCuHo0aM4fvy4xQ2q1WpPfvqnn36KH//4x7hz5w7Gx8d7lJ8G2Jhr3263cf36dczMzOCNN97Aq6++anvVq3zkcjkcO3YMn3zyia22VcBC2knXIbRaLezbt88CtFwNy32aaEhLpRLeeustXLx4EbOzsxgbG7PTvDzPs9hBMBjExx9/jA8//BB79+7F008/jWeeecb6igq80WggkUhgdHQUx44dw+zsrIEgKnG2C0DP+CugUtBDpUZ51NRMV6nyhyBG57T+r4FcPsdVxPxe5wGv1/RoNVLqlW9VtP6aPUTg5+cl6Ls1HqF9oHVRAMmintR2yu/L0Y9QeXe73Xue5w1/8fkeAHfluukvPrtP0Xue99cA/hrY4EO/+LyHgqEwMJWOAs4B5/J2lzvjs6yhoY2muuifPCrdcx4SUSwWLU6gi340ELvZQLbbbaRSKeRyOUNxfBc5x3v37pnyoKIDNjIRuD0CJ4+6dLqYi892V+i6itsN/LCf+bkqJbe4fUYjnMvlLN2V37Gu4XDYECaPE2QmhNIpWlfP8ywro1Kp4MMPP0R/f7/t/kkvh5t1PfLII3jvvffsfSoHOrH5dzQaxfj4uG1iplRXKBTCnTt3cOnSJSwtLRkXr3vscPyViuMhLbVaDb/97W9x5swZ22+expTvGh0dxfXr123M2HZFnjRWRG1cVa37odBb8TwP8/Pz+Oijj3D+/Hl4nmd7PwUCG8dSUq7Yt8ViEXNzczh//jySySSeeuopo5m0DvF4HIcOHbIV0DQsRKObFZcK8UPKrqyy/W62CseT88NVeKrYFSjye793qVz7IXgFK/ocP89Dfyt74Beg1n5w+2+zOm5WHmSEtPyh96P3q52vf9Htdv+h2+0+2e12n+T+Mn7WlRNQ98PudDa2J2XmR6ezkUPLPGf+8Hv+zxN51tbW7HQkDoRmSyhVoe6/UgKbIXrystwnXAeWCmN+ft6eTwGhUaEiW11dNRpJlW0wuL6fvC7D1++0D4He3GZFEVspeX0f7+Nn7COuUtXJQkURiURw8eJFTE1NYWhoyDhwfTf7UQWbdMTo6CguXbqEu3fvmjEmNUPly+AilaKbs+2OC7NlQqGQLa5SBXL16lVcvXrVzhLm/jtUgkRRfA95c3p7t2/fxvXr121xFA/jZmyBMRvKiLtITY01+4F0EucCZZ/G4Pr16zh//jwikQgGBwftYJpOp2MxhXA4jP7+fkPifX19SKfTWF5exnvvvWfrAtRr4TGF+/btsziWjpHOG1chKqJWmVLFR4WoMsrfKpP8m3LjxtJc+Xdl3vUQ/LzXL0ODaHENl46Rfu8q/O0U16Pe7L3bKb8vop8nJeN53m4AC198Pg1gn1y3F8Dsgx7mcmMUfh1w7i8SDoeRy+Xw53/+5/flPQP3dzw/U+5MPwNgbjSzby5fvtyzKlK3m1V3UtEo0JsD3+12MTIyYt4KUSWVSq1Ws2MQ1TNQZMADSUgtqBIDYEqDG6BpPXQi6jtUwFWR+6EDNVBaR+UQyTW7RoX9wGDp4OCg7c+i3pVfYWA2nU6jUqlgeXnZsm1oiIk8k8kk+vv7MTMzY/QNDTHrpOOyd+9ejIyMWDuCwaCtoqxUKrhz5w4KhQJ27dqFaDRq8RRSH7oXCfu52+2aMl1dXcXVq1fxxBNP2JYKwMYirmQyaWsguPsnFYSiWfUK1SPkWFD2V1ZWcOPGDUxPT2NwcNAWTnFdA2lEehQqGzQ4k5OTWFhYwL59+6wOTN8sl8u2erZYLN6375MCGFd+FdGr3Oo9fJ8fjeN6e+59NOyul6qKXw2CqzhdcKJMwnaUqN7rxghcqkXf6/f3Vu/czIh9mfL7KvofA/g+gP/0xe//Vz7/j57n/VesB2EL3W3w86p0XQTABjGIGQyunwbFM1XdoIR2ttI/ykcDuE+5Ulm1Wi3cuHED9+7ds8NOiLI0qERj5KIOFfahoSHj9HUCtVotFItFFItFMygqhIq8C4UCCoWCrTxVuiOdTtuEZh0o/H5BalV8bv/re3XCuYhI7w8Ggz27fer7otEolpeX7ag47QN9lh/PyP72PA/ZbBazs7PI5/M9nLdO9NHRUSwsLKBWq1ngmsFQYF3Jrq2todlsWs6/Hp9Hj2BmZgb5fN52jvQ8r8eLoMyQS9eNq0gbpdNp3L17F7Ozs3bIOOU7EAggl8thZGQEExMTPVsL8JmabdHpdNDf398zR/i+YDBoq5jv3r1rlKPmo3PlOBdPraysYGBgwFJjOX6lUgmXL1/G7t27ewLqbjrrjRs3elYE6xhoUNMvVuNHxbgInn/rPHav0+/03s1AnKsQXcrEpWvca7VsBobcum92rV9xAZgana2KO7cfVLaTXvl/YT3wOuh53jSA/xXrCv7/8TzvfwJwB8BffnH5T7GeWnkD6+mV/+N2KkG05Vd0uwGgV5kx/TAQ2Mi28HPXgPs3J9I0yUQiYVsWc78Uojc3N5zKodPpGBrTTa8U0WcymZ79SKi8iZT0PpcD58/a2ppliij6cZWQfqfpltp+/vgJiNI5fpF9ncTqIXA9gaIrKv47d+7YRnDtdhu5XM7GTQ9nZ+G7icaZRnrr1i0bHxpKjiEA7Nq1y3b+ZKohA77sD3plGtgmUmYfTk5OWp48+yiVStnGZtzulxugaVosFVootL6ZGQ//4F4xfF82m7XtivkM1pPPoKLvdrsWJNZxpBKuVCqYmprC0tKSUWN8FikYfTYpHSYDsG8SiYTt4Mk0TgC2mV84HMbQ0JAZJFdZatBVZd2dg+48VPn0U76KmN17NlOIfmDFfY5rEBTk6OfbUbaqF3iPn7evf/MezjM3dqbXuP2n5Q+q6Lvd7n/Y5KtXfK7tAvift/32L4p2sB+NoR3PLVwpzCpc5EOVR6WbrZwZFRQX8TBNjkaEk5CTQeupLj8HQDfRomGKRqPIZrM9+79oRsjy8rLtlw307n3Bd9EYcdGLHqnG/XFyuZyttGWAVHPIVTG720j4xRXYP+6CKRdNAuhJjWRfso8ikQjm5+ctvuB5nq3cVCSo9dXCMWUqIw83UZqINEcqlTKqi4qSaJbPJzXDzekUQFAZMn2Wu4Py+TRgrCeVmo4TV2gmk0nbp4jP50lHGkfgSlT2He+nHNFb0DUOHAfKVKFQwJ07d9BoNJDNZm3nTXdc6b0wZZf0C0/risViWFpawsrKim1Mp7GwQGB9vyY3WYB9qFQLZc2lGVlc5cp+9PPs1BPSz1w5cdH/ZnLlGhB9vlJaeg3bp0BHi0tDus/dqrRaLVvkxXiLSwGpYeUz/TybB5WHZmWsK5yuJecAMuNGG3zz5k28/fbbmJycxPLycg8yVIpFEU86ncYzzzyDb33rW6aEOJl5Dfd60fepsOiSeQpAq9WyQ7K5KIX7oGgKXSwWw+HDh23Jtssjsk9WVlZsO2Yas3a7bQcIDw8PG09P5cz6uSieSJYKjAiUk5oUl6a1qlusk5j9q8ZEUVG73TbqhFs7qwflThq/bAZ6TcFg0A6ZdpU9jRIAU4AcdwZwaXhJy/BatocB+rW1NQDoCY5THqgUFURo//C+UGh9++Tl5WXk83mUy+UeKqhcLhvCZhojQYhSWxw30i407uwbz1s/Q3Zubg7AxmlefAbvV/DE9ErONf7NoP/i4iL27NnTo9DpjbnHdVKZqoep6Nady+780e83ozn86AkXxW+GzilT7roRV978uHS/97D4KXu/Om9GV/G3epWUKdZfZVsBgDtftksPAQ+JolcLqNF7HTQqY0XTvJ7H0LVaLQwODvYIMyc0O4zZFsvLy7h58yYWFxcxOjpqCkw5SL5XXSuNJfB7FWZgfdKNjo7avvacOJpZsX//fpw9exbvvvuunYpFRUsl1W63cfz48Z5Nw2i4+JuHQBNdaU6uogv+6P18B5WJKm3tZz83UhEulboaEEV5vJ6ZIOwn9aBINbhurG41oUaLCloXqumzOZbAhlInQnWRHw0wM2xUJtWzVGWlCIvtVk+lVCrZAd+FQqEnu0gNMhEbZZtUl56VynfzfTT0PNCd8QgaMR17jhvbqXSK0ontdrtn+2PumUNPjWPjpsSynzRA687trT73Q8p8lippLa4R4Wc0nkpb6Tg9SDG684Z95nedW9w+Yf38jNt2aCF9LsGLPpN/b7c8NIoeQI/AuGiewS4VDHXvE4kE0ul0DyUDwBYU6eZHfKYeUu0qcn2PWn3tZBfBsjC7g26Z7inCtg4MDCAWi+HEiRM96aFEjUqjjIyMmGKjoiKVk8vlkMlkeiacChSwoZQ1D5+IgpNX+92PE3UL01ip7CmMmpVCSsXlnTkOfnytGhJSPWwX+WwqJvaPu5GXGjitlzuWQC8NpXSVPsulDlxOl88haqY8RaNRJJNJrKysWFvVE1JvkOPANQLsWxepsh+1TTwpS9cFuIhPgYsry3wuaTXOHzVASsW4StpPPrRshmz9iguwgM0VPosaLwA94+xm5SiQ1Hqo1+4XO/J752Zt8ZtDLGoEtlPUKOgzt/KE/MpDoegVXbmdquhdEQQnYCwWw+DgII4ePYpPPvkEMzMzlsLX6XTMVSZ/u7KyAmB9ifzY2JgdOPIgQdqszopKAdjk4BJ/RYmcnOTmmGut2RvuoBKxMo6gCq/VaiEej9vZppyQikxU4HWnSyJPYGOfDQq7S0nweu0nGiMujWeh1xQOhzE4ONhzpCHbovEV/vil7IXDYRQKBXie17MKlcadVAbHmP2iskJDy8/4LqX0WF93UZ1rEKhkXVDgvg/YODyHaZfqJWmbXTqN7ady1zEjvajvZf1VEatR8KPEXKSp48y55VI/NKYqm37KyqUneL2fstxu8Zt/LpLfbP4qIHCf6SJszZDi/HiQMvXrX796+ynrBxXKDPXXl0HwbnkoFL0fYgZ6KR3N3ebfnHwjIyN48cUXsXv3biwuLvYoYSLCSCSCSqWCUqlkiHN0dBQjIyO+ddIBdAdJuVB+zx/y/9ySga4xCweOk1M9ARdheZ5naXBqwak0+Zv76ZCndZWB2x53criIyZ2YfgLGAPfq6qpxuFSCbC+3aOCePuw7Kg0/ekHrGgqFsLa2hkwmYwvP+J3SSqurq+bt0EBwctAg0kCyjyhDSgdxawWOiRo7pW/UaPAZmoETCARsa1+ib20fV/dqHIDKiBOawVLNn9fzAUi5cWU0V+KyT5SycD08VWaK/BVA6JiTiuJccr1aNRpucZWsH93iGhoaXD8l66dIN6NZSOsqxabeO/vITb3W529moDZrr/b/Zt9p3bcq6pW693/Z8lAoei0uigQ2lCM5ZQ6ou5rvyJEjOHHihLm9mrpGWoS5w5qBoh3J9ymiUcSlSJufKULyPA/Dw8MWfNOtEyg4nHxafzUUbiHidJUQFWomk0Emk7GdMHWlqtu3rpJX1O9OSPVW9LpAIGD589PT06hUKkin0z0rSFutlh2Kzi1x1bPyE3hVSqTbGo0Gvva1r6Gvr+8+g0SEvbq62jPenCDcY4jGMhgMYmlpCePj4/cZai7E0wwYDYyy6ORXuozywm0DGNTUTCv2MQPLmg2mwU0N2DNAzDpqXCKXyyGbzWJ+fr5nK1/2EcfNT/mokqeHye06NKuG79M66xi51JZf2Qp1+33mgiwaUZfGYuGcUPROalENGp/nZtJpPMoFWy4gceu3VVE5+bKUjbbty1A0m5WHQtG7S9WB+4MbVMbK22kOM/e7oUJUV5/CwlIul21/eXWZgV5BcOugk5UKm/XWibp3716kUilLe+RGbLyGmSRUjH50ivs520/UqUo1l8shl8thenq6B3mq58PiPleVgsvv+22DynYzSDo1NYXl5WUMDw+bQaRCHxkZwZEjRywWwmfqWOv7tZ87nY6tSj127JidzORSH9VqtUfRs18bjQZSqZT1HamZ+fl5U1560E0sFsPBgwfx2WefYW5uzu7ZzOthHyma5E9/fz8ee+wxpFIp2z9JjTmD7/F43ALpROb0OoB1A5/P53ty7Hltt7u+B87evXtx7949M6AcV1UuSsGoYaKcNxoNjI6OYu/evbYw0QUjhUIB7Xa7xzhx3PyUlzu+Li3lehNuv/JapS109TufzWtcI0ADRn2gQEqvZwCbCjWbzdraBU3TDATWU3Z50pkaBT+vmcWtK2NP9NQ4tqpbXK/M1Y183v/X3tfGtnll6T1XEvVFifqyREqiLEt2ZMvO2HK8nsSTZLNOp5PuzGQHmOyPWRTo/mixwO7+6KI/ihkUKNA/A7Q/ikWBotuiH+iPdrvtzrazMDzIBElqj2P5Q7IdxZZtSdaHJUsiKVIUP2RKpPT2B/kcHd68cpzpOKICHoAg+fLl+55733PPx3POvffLwEAloehtaEIrUL7rSgWtlLSXG4lEZEBzmVpWvlARsEO5Eh+Fl8lBbrDMcznY7bBLV8hwkLEMsq2tDY2Njdje3hYceXNzU5YDZlWDXsVR1/zahoQDm1UrLDFl6R+xcL2ksd4/lJ4mN8IAisN03tP2iHWYq4kDhpOBuJ44eaCCam9vx+HDhzE5OYlIJCLT+TkbU/cpnye9yO3t/NrxgUAAXV1d8Hq9EhXkcvmt6ZqamjA9PY1oNCqGlZ4vZ7vqfubew+l0WmaRasV38OBB+P1+hEIhqSTiCpCsN6cSZoRAWeTzSaVS6OvrQyAQwObmJjKZDNra2gBA1q6PxWJF/UxeuU49J+tVV1djdXVV2krlUFFRIctiDAwM4NatW7LapC4v5bjgBC8uPa0rmWpraxGJRHDoUH6hNz1PhYZqe3sbkUhE8i319fVSqlpVVYVkMlkUmWgngWND14hTbjlGOd5ofKiU7USqNiq2c6QdMACyIizboo2fjsLpHGQyGYTDYZw/fx6Dg4NFfcb5LjMzM7hw4QISiQTq6+ul2MINUuHY5wQ1bvZCuC0ej8OY/IRI7qvMc/WENfa/bp92MJ6XSkLRA8V4vFb6wE4FhvYGqMyz2SyWl5dx48YN3Lt3D8lkUnZ10hg4MU96cj6fD/39/Th9+rTgeG6dp71ePlA7DNZWOZfLyUbfHFTaq+PG39pqaziHpNtJTJs1zRpyoKLxer2i0PSSA9qr0xGQG2SiFftuYTK/p1IpNDU1YWVlBaurq0in0/D5fFL2x+fIXZg4X4CCbA9sXXrKTbqj0Shee+01dHZ2Slt4Hgf33NycDHbb69bJZiDvmUWjUdm7NZVKFe1L4PF4cOjQIYRCIVnsjsaztrZWyiRpcDg3gJg7YZmBgQG5JqOLXC4Hn8+HyclJiSrYl5whS7iK/cx2RiKRoh2TeB53ngoEArKpueM4IuepVErmEtDI02BQNmlwT5w4gerqanFWGI3W1NRgdnZWZjnTmGpvUzsVWt7ssa2JY5qOlO25alnU0ZKWQzeY176v7aho2IYOS2VlpYzPVCol5cZcSLG9vR2VlZXo7u7G4cOHcf369aKcjA3N6AiK0T7nc9CBYf6lqalJdiMzxhRN9OPYYK5J95ENQX0RlYSi1zjobuGQx+MR6wagaCBFIhF8+umnsriXPUO2qqpKhJjeGQCcPHkSPp8P3d3dXwpDs717Khq9GYfO4HPA5HI5LC4uYmxsDMlkEolEQpJodtKWvNADaG1txalTp8Sr4qAmjMLVCJmU1JO5dLtsha6jKYbpbhivrfDpbVVVVWFqagrHjx+H1+uVZ9nQ0CBKsr+/HzMzM5iZmRHhZ222XuRsY2NDZotS+L/xjW/IksLklX0Vj8dx//59GQy6jTqE14M9Eolgenoax48f/1y1S2VlJY4fP45wOIyRkREJ62OxmMAsjLCMMZLY5S5JkUgEjY2N6O3tRTqdRiqVkvwAZ6dyUh8jAg2P0Atkv/Ocx48fY2BgQNpDr3h7O19a2draKtEssLOhhcfjkZm12WxWPERGDwBkPae+vr6ifBfHUUtLCxYXFzE3Nyeypsty9ZilnNnQkf2d8ueWKNYySqeFbbUdLO148T76enos2waA5+rZyplMBqFQqEi2GSkRCuzq6pI5B4wc7THLF5U3+1NH+DTWgUBAoi/CQxqepIzxP5T9L4vbl4Sit5WrHaIxpOdvGnNj59ESt7S0CIxijJHwant7G11dXQDyAry8vIxMJoN0Oi33ccMM3YRLE4WCwskqGO1NcsCm02ncvn0b169fl0XTCC3tlhClMPX09MDr9WJwcLBI6fG+3AWJSkR7UXpAUlB0KSIHhV2KxjVg9HMgNTU1STg/OzsrC2YBO7XiDE/9fj/Onj2LcDiMRCIhHieXjaaRrKrKbzzCvWTPnj2LQCAgRog4Nr3AW7duYWlpSfIxWnFopchjxEbn5uZk6zy2mzLV1taGI0eO4MmTJ0in00VRDZct0FHVxsYGNjY2pKLrvffeQ2trq8gVt+djpDM/Py+QkJYvjVlTXtiXs7OzSKfTkpvRaxw1dtSl4wAAHWtJREFUNDSgt7cXsVgMqVRKdmLjAoBauVOZccOTcDiMyspKnD59WpSaHl90iObn58X71E4EnSnNrx6XWqHamL1WxLqKyW2c2YbCzjm5Rdn2/bTjqKNpbegzmQyWlpYkp0a5e/r0qcAqra2taG1tRSwWKyoQ0P2mdQNzh4TjNCydzWYRDAaLnBSOT+qsZDJZlGvjS5f5Pg/9ptej/7VJN0K/2IEaz9NJ1oqK/Jrkr7zyClpaWpBMJiU0ogf29OlTpFIpgRlYPcCNQZ7lxWuB0bigHTrSKldWVsoUf/6HoWAul187PJvNwuv1or+/H319fejt7UUwGERXVxc6OzsRDAYRDAZlb8/NzU08efIE9+/f/9xSAABE0evKF4bGVLqErPSa8FQYxBDtc3Uf2AaOg8Tr9SKVSmFqakryHTU1NVIBRH6OHj2KwcFBbG/nZ4ry+dKQZbNZxONxGWgnT56UbQT14l/s/1wuh2vXrgGA7Ber+1wrTsoX7xUOhzE7OyvJeBKjryNHjuD1119HY2MjkskkOjo60NjYiLW1NfFoNzc3Za7E/Pw8stkszp07h6GhIfGg+Wy2tvJ7E6yvr2NpaUngKTuK0oqOxphrBlEp83pcmMzn8+HMmTM4f/580U5mhMYIk+ncDecnrK6u4siRI3jzzTdFcVNOCWdkMhk8evRI5AnY2etXK0lbMbvBgzYsy/6m564nktnXogLUeRENjdiOkla+2rnRLw2p8PxUKoV4PF70O+Evj8cDv9+PwcHBohJht3HBiE974OxT9nVTU5PsM8zoQlfXbW1tSdUVULy2lBss9SwqCY/e9sS09eVnVkaQ2MmcnHTq1Cl4PB4sLi7KNYG8984do1ZWVsQS+nw+9Pb2Fq0Xz3tr60qeeA6/22EiIwt68zrhRAgAAOLxuCjbtrY2gZLc8hKs4KBgcIYllQ0FyJj82u1ckIo82lCQNgz0KOxnQCGlV2HnDkhMBgJ5r/L27dsYGhpCX18fKioqZG14rrvf3NyMV199FXV1dXjy5AkikUhRySWNJHeA+s53vgO/3y8LdRETpUIPh8MIh8NobW2VKib9TNz6s6KiAl6vF2tra3jw4AH6+/uLylGpeLjx+MbGBoaHhxGLxSQfpDc+WVpaQiwWQ319PV599VW89dZbqKurw+rqqkQK9Fw3NzcRiUSwtrYmjgBJD169Bk9FRYXMQ5iamsLBgwcFNnIcR2bRspyXEObi4iKCwaDkDPS8jXg8jng8jmw2i/7+fpw7dw5+v18UE6EMJs7n5uYwPz9fNPua/UzITY8TW0nr3zVpL90ed24Rvi7U0MbcdsA0UXnq7zaWz0Qx4b9kMonp6WkMDQ2JrOlKJ6/XiyNHjuDmzZuSpLXbrxP8bJdOEkejUeRyOQwNDeHAgQNS/aXl1xgjGyPpiIdypSfSPQ+VhKLXpB8iiXgXFZ5OVBpj0NzcjM7OTpw8ebJoyQMqLC47zNpvndypqKgQXNhNMN3CQVvJ891xHHR0dHwu58DrRqNRwfa4VSGTxLyvPVi2tvIbiqfTaUQiESQSCQSDQfEW1tfXUVtbi6amJnR0dBTtKq8jIt0+8su+1ri8bqP2kvX/Hccp2oO0vb0dc3NzuHjxIr7//e/L8g8s02MfNzU14fz580in01heXkYsFpPSyNbWVrS3t6O9vV0mR7H6wOYpFArhgw8+gN/vFyiBnherPAi10FjpahCPx4OxsTHU1NTgrbfeQkNDg2wS7vF4xAv+1re+Bb/fj6mpKYFGEokEgLx31dDQgBMnTmBgYADd3d2SaOa9GDFUVVVhdHQUly5dQltbmyhJYvus5GEVDJPErJTa2NjAzZs38dJLL6G7u1uMMLFiRgjvvPMOurq6cPfuXczOzkq/MBGbTCZll6uhoSGcOXNGtkGkTGucP5VK4YMPPkB1dTUaGhrE49T9ajtGlCXKjj35So8l/VxseMaOEHR+hse08nfLA/Cd41wbBx1dsFLJ6/UiFArh8uXLGBwcLBqDrMKqqqrC0aNH8e677+LSpUsCqdlOFJDfU5gVYoySV1ZWUFNTg6GhIfzwhz+Uzd71RjHkZ2JiQoysXgvJLa/xRVRSit7NQvGYroPXde60uCzJo5fKTqDCZ+hK74ne0vr6uihmCgAVjJ6copWNrTD5kD0ejyypQD4poNXV1ZidnRXlylK49fX1IuHTmCIVE9ubTqcRDodFqegSuurqavh8PlnnnUpP96FOCmlFpI2rjavauRKtEHSFSGtrKx49eoSRkRF0dXVJvTwVAxOtDQ0NqK+vx6FDh9DX1yeKgIpDV59o7JzPM51O4/HjxzIAmNzSE0u0HNHYsV0VFRWikJmUZdKMbWXuoKqqCr29vejo6EAymcSjR4+KBtuhQ4fg9/tlQKdSKYngaCxYfvjZZ59hYmIChw8flmiMRkBHT/QGKZM0Pk+fPsXk5CTq6urQ0dEh0Az7LpfL70V8/PhxtLS0oLKyEuFwGB6PB16vV9oTDAbR2dmJgYEBtLe3Sx5CQz6cRT49PY35+XmJQDQMQuhUk84x2E4L5ysYY6RW33Gcopm/NvTi5njxGVMm7KhaQ3YcH3wO7Evek9cifENlvLy8jJmZGZw4cUL+r40KNz5KJpO4fv26OF32zGp76WmiEi+//DLOnTsnm8owWtR5vfX1dUxNTRVBWTqyYR88L5WEotdKTjdMP2xbwVLAAQgEsL6+LlUnNAy6fI+DQScztHKnoBEX29zclIQd70nh0gLHaqCampqiPWLtCV0TExOSSNTCRo+Fg1EbIwos2xIKhYrCN14fyM+QbW5ulm0X+X/yzD7RlQZ6YGlsm23T/c2BTkigqakJ6XRa1kPPZDK4evUqzpw5I7AY789Ig4NdL36m78VKAwBSZklsfW1tDWNjY7h165YMKBqS7e2dZQj4fLUnyD6gUidOffPmTdTU1CAQCCCTyRQtI0EeWXHT0dEhz4X9lsvlpCSObSEmXl1djXQ6jQcPHmB2dlbkUle1sJ3EvSm/uk9o1G/cuCFbJ9J4Erba2toSB6Wrqws/+MEPEIvFEI/HJcrwer3o6emRUkIdSbCvmbNZWFjAyMgI0um0FDRoR0Hj89oYu8GefD6ExV566SVRjMlksmiOC4nn29GzDR/ZEJ0uQOD/tcx5vV4kk8miyI/RqePkZxuvrq7i8uXLRdAeISAmthsbG/HOO++IAeaWnxybTL5TdtneY8eO4fz58+ju7kYsFhO4Us/focxMTk6ira1Nxjp/Z3nsl6GSUfRu3rwe/FrZsuM4IBOJBMbHx7G8vCzVNxrDp+dkbwvY2dmJw4cPy/11dYeeqq8Vng1xAChSCtwsm0lITirh7FBOvLGrK2zjxnvr8i2Wf3GQAzvlkfTgmdhkss+tr2kA7JyD3UZ617ZXr6+hE7cU2Pfffx9vv/22rMnPQcs+pacD7GzyrUtMCTVwZiy3Arx//z6uXr2KTCYjuRC3qMPtOfFdr266vr6Ohw8foqamBt/73vcE5qNXS8XLdmqsVHuujAy5VDNnvm5sbGBqago3b95ELBaT5SBsXu2ITvOsk5APHjxAT08PgsEg2tvbZcE0KjU+B3rNdXV16Orqkn6ijDCZTGVRV1eHeDyO+vp61NbWYnV1FQ8fPpQKoe7ubiSTyc/Jkh6jux03ZmdyIQCJOnp7e2U3N/aJjlAYpTiOI44X+53HNQSrE+/am9/e3sbS0lLRvAh69jRe7Gf2PyvGRkdH8cYbbwhPWh/RgP1OYY2tx48fS7EHZ4FzDFZWVqK3txcvv/wyDh8+jJqaGoTDYTQ2NmJxcVFyiHqS3O3btyXvp+EqY0zRZMDnpZJQ9IC7AgV2LDS9HnqWGn9fWFjAL37xC4TDYZkJyYfMjZ11aAzkldjBgwfx3nvv4dixY+KVJBKJosHjpgTJAz1G8nngwAH09PSgrq5OICMNKaVSKVRXV4shonEA3Nc6dxxHyuRorIgRAztrtdNL5doys7OzMpnH7lutPJ4FlQHF69Pbv1Fx6MigpaUFHo8Hk5OTyGazePvtt9Hf3y94e2trqyhA3VYAMrAJ92gYI5FIYGRkBKOjo0gmk2JMdzO6GsKxnx8VBSdBRaNR3LhxA4ODg7KaKZ8Nk+S8JjFqtoEDnpEJDZ3P50M0GsXdu3cxOjqKhYWFoiowzbMexHbSkv3DSKyxsRGTk5Oora3FN7/5TfT39yObzQpM5ObFatjOGINEIiHKgztp0QP1+XxYXV3FlStXcOPGDWxsbKC9vf1z8Iob7TZ+yQsjFo/Hg2AwKPKssX59Dze8nspdT1TSz1V/pwf+5MkTfPjhh0WT+MiHXliO74wQV1ZWMDIygr6+Pvj9fumn2tpaqUZKpVLo7OxEW1sbTp06hXg8jnA4LLt1eTwe0Ql+v1+KSba388t0p1IpNDc3y6xvx3EQi8UwPj6Ohw8fSnEF5ULnGtwS3M+iklH0z0PEbrmQFSEXrj9BRaMVKQCZnUpvjeFRNBqVdW84CPUaFMDOFnkkLewaWqH3TZyOlpdKiyGqroShknCDT2yvmlHD6uoqQqGQ4NO6MoZ4LHnS19YDSUMP7Fc9mMiL5lNj94TCdAkh29/S0oJcLofJyUkkEgmcPXsWQ0NDaGtrE8+NPLrxAuzg7Y2NjZidncXo6Cjm5uawvb0t1SC7KRw7QWc/MybHCGUYY7C0tITLly+L8iQmrZe/0P83xoghZS6B8ENDQwPW1tYwPj6OK1euYHl5WeY46OoN/Sx0//MZ6GiMMtPT04NIJII7d+5IPqihoUFgMY1Za+9Te8CUEcpGNptFOp1Ge3s7lpeXMTw8jE8++USWsGCy0HYMtJxqY2q3hcf4f85f0HBIOp2Wc2wnhE6Cvp++l52DsWWBbdAGk/dghZOWdya2WVN/7do1vPvuu2hsbEQikUA6nRYecrkc4vG4jPtAIICenh5BHOikUY44S1ov8tfc3Fw0G/bWrVsYGRkR+eP/3aKWL6PsS0LRuykdG3bY2tqSxYYWFhbw05/+VBQwMcjGxkbpFA0BUMGzlpmheSwWw89+9jPB1ZmcXFlZkRmp2jPSyo6ky6ZCoRCGh4dx584dqZigYVlZWZHJKhr2cHtYbsqPiqWqqgo3b97E6dOnRVC5eTXbyrpyPVhsA2MndnjcNmJ8Jm480pgwucm+PXDgAA4cOID19XVcunQJH3/8MTo7O/Htb38bgUBAqji0UtJ5h0wmg4WFBcG2yRdrmdk2Phvt8XDwa09R34OeLL3buro6DAwMYHp6GktLSzh27Bj6+/sRCARkw229PC/xcuZ4tMLPZDK4c+cOfvWrXyEUCqGmpgbBYFDKa/Werlppad7Iq9vzcRwHfr8fmUwGw8PDmJubw9DQEAYGBiTKoTLTa6ToCJgRAD1XtuHixYsYHR3F7OwsGhsb0dPTg83NTayurqKlpUUmIOq+1nzZCli/ABQpO0IS2vHS3rqurHMcp2h+gIY1KTN2X+mIeGtrS7Z0bGpqkiiN+TDqEF6D0CrzPB9++CHq6urw+uuvS7VbIpGQKh0uM8H+pWHVWzvqiJDyydp5vcn8xYsXMTIygkQiIduQ8sWxYrfzeakkFP3z0MbGBhoaGmQmaTQaxfb2tuydWldXJ7tHcRDqKg7i5ExAscRxbW0NoVBIPDKGZkzCck0RN6UI7GwmYoxBNBrF8PAwksmklHICEEFl+K6TU7yWVrJ6cJJ3II9nr6+v4/LlyxgbG5PwlwLNunUARbXTuxkq28hoL5Pkhs9zwGoDotdA4Wefz4eamhokk0ksLS3h5z//OQKBAPx+v5SCMgJaX1/H2toaUqkUkskkotGo4J0+nw+tra1FW9xp71XDE7pP+a4NFZWoVh6MBjc3N/Ho0SMsLS0hEAigv78fx44dK1oCmNcihs+66KmpKSwuLmJ8fBwbGxvidPA/NFC2EiR/OhJxM7YAJLfDpP/jx48RjUaxsLCAY8eO4ciRIzIe+Izs+1HGmUuYmZnBw4cP8dFHH8FxHNlDgApUJ4p1v+q+taNQTTyuy1y1nPA3LXfa6Nn31c6HDXPq/tN9p5P+HK96aQE9Vqg79NyMTz75BLlcDm+++Sa6u7tl7wfOliV/jCzY7zphSg8d2Knq4vpHjuNgbGwMV65cwfZ2fntQGjvt9NpGdt8penswauIDY4OJk3JXej44vWgYFQI7nOGdnuTD+nNgZ6q/TtTq+5PchJmeuc/nk+nSmUymaHEvWnKWxdGb0OGXFlQtrFTmrMWlUlxZWZGllilQLF3kQkn6WryHG5yhj2kvmP1uv/g7IwomIZl80iFmbW2tTERZW1tDIpHA3NwcmpqaisJ0enJ24q6hoWHXSiz9XPTn3YwyDZNeVRCA4Oqcb8GZvouLi5ienpZF8pjIJQ+RSAShUAihUEhmXDPCoaJnYo7t03ABn7dWWLYBY+Rkt722tlZWAR0ZGcG9e/dkqeG+vj50dnaKx15RUSGwQWVlJWKxGB4/fiyToTghrKGhQeAsDcu4JfXtftfyZMOG9EqpULVi59hwiwLs58d72pCX7he2l/3ICYl80cgRDmKUQ2Nsl412dXUhEong0qVLWFpawpkzZ3D06FH4fD4AxUusa+NaU1MjVTj8jUaEOmlzcxOLi4u4du0arl+/LkgEq3r0/B5t6AgX7ktFz4elraAtKLpSgDiYViw6pNYPjMKqK3U4CFgDzXvoTtXhGOAOqejkrq7VZZ08rbiuqddVG8T6GNoSn6ZCYJtYnVJbW1sEF9DQ0VujIrKjAt3PelDq48Dny1jdiB6XmyfHvrbvQSWiV3O0ZYBwm550o5fU1cs7kA9bVuyyWtvD5/PS9fA6icm8yubmJtLpNCYmJorwUl2iura2Jls8sqSyqanpc3kTXQpLOdIKQGPM+lnZMIVdbeL1eqWEM5lM4vbt25iZmcH9+/cRCATg9XqlRpzll5ubm4hGo1haWkI8HgcAwZfJm5sCIf9uESFlcX19HQDQ3NyMaDQqs7rZFnrWel0ijT9r+dJ98Kxz9Hdb8dMpIiTLJLqeZMdnRdnQjh3v6/V6kUgkMDY2hnA4jCdPnuDEiRPo7u6WeTN8PlpX6Pp7VqdR4W9ubuLq1auIRCIYHx9HPB5HMBgUZ8cePzoX6Cb/X0Tmy5z8oujgwYPOG2+8UaQgtMA9y+MnMQyzB7/2AOxraoG1Q2nb27Wz3VroeG0aHv6foTrvp6+j/0t4iJ8rKnY29gB2vAZdfaN50deloWBoTOJA031jV6fYwuXm/bu9256fW+it+WT/6USazYvGl7VyJ3Hgu8FRVPD6Wdg5B1ux7uadcoDxehxsbKPGxfW99DW1krL7Q/efnkWqjZT+r1YotoNE75VJb40Rk3gPGi8aNs2v27tdkGDL8dbWFhKJBLLZLOrr69HT0yOLoOn/0GCSJzv5yutqvulA8VyOARsK0tejUQmFQvjlL3+J+fl52XSdFS/cmMaNeD0mVGn40+k0qqurEQwGcfDgQRw9ehRtbW1obW2V3A95ZhTDZ8VlTO7du4dQKITx8XGBWgkZa3mh06qvQ+IKvRcuXBh1HOe3XBuhqCQ8ejdyGxCa3Lw5O4S3SZcn7ea57hY68tgXhUz6XJsfHVmQqNS1F6KNljYwHNAcMHrQuhkp3S/6t92U9ZchN4Ow22+2Z6J/48st8QjszBNgO9lW+376+ej+dTM02lu2ebSfmY4A+X/bMLFd2vhoRcVoRXvodh9oR8E+x4YPtaLkvSsq8gvbcZalzmXQYDCZTd50lctuSxVoR8eNyHNFRX4dofX1dSQSCQwPD8txW9nb13OTSX7W7aUCp3Gyc1DsZyp5RjJPnjyR6+RyOSmyYERsk5Ynyote/IxrD01PT+PWrVuyOc6BAwdkAxy9VASNRDQaxfLyMiYmJmSxPG3AtKOo+1fLnC1Tz0sloejdlIwdvrkJgj5vN+W6G7kNNrfra69pN+/cvrdWzG5828qOIZ5+kLTgtiBy0BLaoWAQCqmoqCha41334bPIVsi79YW+nlaOdlvdrkf+dIkY33X/am+R3pAdlru1zU0G3IjPxo7kdF9orBwo3sREG2AtG9rT3U15aaPrJqtubdQTntwiLypzY3byS7spME38n70PgS3rbrkku23MCbHSjMluHcHpKEUbeDtSsp8jYRee55Z8tfnmPVtaWpDNZiXXY8+Ud5NT+7kwmmFJK2FZLnsxMTEhEJ8uDDHGCGTGNY22trZkdjNzJnzZ8JRbpZxtCJ+XSgK6McYkATzcaz5+TToAYGWvmfg1qMz3V0/7lff9yjewf3l/Xr57Hcdp/6KTSsKjB/DweXCmUiRjzMh+5L3M91dP+5X3/co3sH95/03zXTIbj5SpTGUqU5leDJUVfZnKVKYyfc2pVBT9f9hrBv4/aL/yXub7q6f9yvt+5RvYv7z/RvkuiWRsmcpUpjKV6cVRqXj0ZSpTmcpUphdEZUVfpjKVqUxfc9pzRW+M+XvGmIfGmCljzI/3mh9Nxpj/bIwJG2PuqmOtxpgPjDGThfeWwnFjjPk3hXaMGWNe2UO+e4wxHxtj7htj7hlj/vE+4r3WGHPDGPNpgfd/UTjeZ4y5XuD9r4wx1YXjNYXvU4XfD+0V7wV+Ko0xt40xF/YZ37PGmM+MMXeMMSOFY/tBXpqNMX9tjHlQkPdzpc63MeZooZ/5Shhj/uyF8q1no33VLwCVAB4B6AdQDeBTAMf3kieLv98G8AqAu+rYvwLw48LnHwP4l4XP3wXwCwAGwGsAru8h350AXil8bgQwAeD4PuHdAGgofPYAuF7g6X8C+FHh+F8A+OPC5z8B8BeFzz8C8Fd7LDP/BMB/B3Ch8H2/8D0L4IB1bD/Iy38F8I8Kn6sBNO8HvhX/lQCWAfS+SL73upHnALyvvv8EwE/2uvMtHg9Ziv4hgM7C507kJ3sBwL8H8Adu5+31C8DPAfzd/cY7gHoAtwC8ivwswSpbbgC8D+Bc4XNV4TyzR/wGAXwI4G0AFwoDs+T5LvDgpuhLWl4A+ADM2P1W6nxbvH4HwCcvmu+9hm66Acyr7wuFY6VMfsdxlgCg8N5ROF6SbSlAAqeR94z3Be8F+OMOgDCAD5CP+uKO43BtY82f8F74fQ1A21fLsdCfA/inALhgSRv2B98A4AD4pTFm1BjzR4VjpS4v/QAiAP5LAS77j8YYL0qfb00/AvCXhc8vjO+9VvRuq/Ls13rPkmuLMaYBwM8A/JnjOIlnnepybM94dxxny3GcIeQ95G8CGHQ7rfBeErwbY74PIOw4zqg+7HJqSfGt6HXHcV4B8LsA/tQY89vPOLdUeK9CHlr9d47jnAaQRh7y2I1KhW8AQCFf83sA/tcXnepy7EvxvdeKfgFAj/oeBLC4R7w8L4WMMZ0AUHgPF46XVFuMMR7klfx/cxznbwqH9wXvJMdx4gD+L/K4ZLMxhmszaf6E98LvTQBiXy2nAIDXAfyeMWYWwP9AHr75c5Q+3wAAx3EWC+9hAP8beQNb6vKyAGDBcZzrhe9/jbziL3W+Sb8L4JbjOKHC9xfG914r+psAXipUJlQjH8b87R7z9EX0twD+sPD5D5HHv3n8HxQy5K8BWGMY9lWTMcYA+E8A7juO86/VT/uB93ZjTHPhcx2AbwO4D+BjAL9fOM3mnW36fQAfOQUg86skx3F+4jhO0HGcQ8jL8UeO4/x9lDjfAGCM8RpjGvkZedz4LkpcXhzHWQYwb4w5Wjj0dwCMo8T5VvQH2IFtgBfJ914mIgpy/V3kq0IeAfhne82PxdtfAlgCkEXeqv5D5HHUDwFMFt5bC+caAP+20I7PAPzWHvL9BvKh3RiAO4XXd/cJ7ycB3C7wfhfAPy8c7wdwA8AU8qFuTeF4beH7VOH3/hKQm9/BTtVNyfNd4PHTwusex+E+kZchACMFefk/AFr2Cd/1AKIAmtSxF8Z3eQmEMpWpTGX6mtNeQzdlKlOZylSmF0xlRV+mMpWpTF9zKiv6MpWpTGX6mlNZ0ZepTGUq09ecyoq+TGUqU5m+5lRW9GUqU5nK9DWnsqIvU5nKVKavOf0/TspQhyJCTP4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread(\"car.png\")\n",
    "r,g,b=cv2.split(img)\n",
    "img=cv2.merge((b,g,r))\n",
    "img=cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)\n",
    "plt.imshow(img,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### 先去噪，如果不先去噪，效果极差，噪声指车牌的反光\n",
    "ret,img = cv2.threshold(img,170,255,cv2.THRESH_BINARY)# 大于127为255，小于127为0\n",
    "plt.imshow(img,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "laplacian = cv2.Laplacian(img,cv2.CV_64F)\n",
    "laplacian = cv2.convertScaleAbs(laplacian)\n",
    "plt.imshow(laplacian,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对其他算字进行去噪处理，效果会变差"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 边缘检测"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Canny 边缘检测\n",
    "- 使用高斯滤波，平滑图像，消除噪声\n",
    "- 计算像素的梯度强度和方向\n",
    "- 应用非极大值抑制，消除边缘检测带来的杂散响应\n",
    "- 应用双阈值检测确定真实和潜在的边缘\n",
    "- 抑制孤立弱边缘完成边缘检测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.imread(\"car.png\",cv2.IMREAD_GRAYSCALE)\n",
    "plt.imshow(img,cmap=\"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "v = cv2.Canny(img,100,250) # 数字是双阈值\n",
    "plt.imshow(v,cmap=\"gray\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
